26973135225 has 27 divisors (see below), whose sum is σ = 48316295053. Its totient is φ = 14384358240.

The previous prime is 26973135193. The next prime is 26973135229. The reversal of 26973135225 is 52253137962.

The square root of 26973135225 is 164235.

It is a perfect power (a square), and thus also a powerful number.

26973135225 is a `hidden beast` number, since 2 + 6 + 97 + 31 + 3 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11115274041 + 15857861184 = 105429^2 + 125928^2 .

It is not a de Polignac number, because 26973135225 - 2⁵ = 26973135193 is a prime.

It is a super-2 number, since 2×26973135225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26973135229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2458051 + ... + 2468999.

Almost surely, 2^26973135225 is an apocalyptic number.

26973135225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26973135225 is the 164235-th square number.

26973135225 is the 82118-th centered octagonal number.

It is an amenable number.

26973135225 is a deficient number, since it is larger than the sum of its proper divisors (21343159828).

26973135225 is an frugal number, since it uses more digits than its factorization.

26973135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914 (or 10957 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 26973135225 in words is "twenty-six billion, nine hundred seventy-three million, one hundred thirty-five thousand, two hundred twenty-five".